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Finding the Fourth Proportional to 16,926, 25,383.42 and 5,832.44

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Solution

The fourth proportional to 16,926, 25,383.42 and 5,832.44 is: 8,746.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,926 : 25,383.42 = 5,832.44 : x
  2. Step 2: Convert to fraction form
    16,926/25,383.42 = 5,832.44/x
  3. Step 3: Cross multiply
    16,926x = 25,383.42 × 5,832.44
  4. Step 4: Simplify right side
    16,926x = 148,047,274.14
  5. Step 5: Solve for x
    x = 148,047,274.14/16,926
  6. Step 6: Final answer
    x = 8,746.74

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.